Frustrated magnetism and resonating valence bond physics in 2D kagome-like magnets

Frustrated magnetism and resonating valence bond physics in 2D kagome-like magnets
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DOI:
10.1103/physrevb.88.195109
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发表时间:
2013-05
期刊:
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影响因子:
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通讯作者:
I. Rousochatzakis;R. Moessner;J. V. D. Brink
I. Rousochatzakis;R. Moessner;J. V. D. Brink
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文献类型:
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作者:
I. Rousochatzakis;R. Moessner;J. V. D. Brink

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我们探索了三个海森堡反铁磁体的相图和低能物理,这些反铁磁体与戈薇晶格一样,是共享角三角形的网络,但包含两组不等价的短距离共振环。我们结合使用精确对角化、分析强耦合理论和共振价键方法,并扫描两个不等价交换耦合的比率。在一个极限下,晶格实际上变成了二分体,而在相反的极限下,出现了严重受挫的网络。在这两者之间,竞争性隧道过程导致短程自旋相关性、多种低位单线态(可以理解为磁激发的局域束缚态)以及具有共振构件的价键晶体的稳定性。
We explore the phase diagram and the low-energy physics of three Heisenberg antiferromagnets which, like the kagome lattice, are networks of corner-sharing triangles but contain two sets of inequivalent short-distance resonance loops. We use a combination of exact diagonalization, analytical strong-coupling theories, and resonating valence bond approaches, and scan through the ratio of the two inequivalent exchange couplings. In one limit, the lattices effectively become bipartite, while at the opposite limit heavily frustrated nets emerge. In between, competing tunneling processes result in short-ranged spin correlations, a manifold of low-lying singlets (which can be understood as localized bound states of magnetic excitations), and the stabilization of valence bond crystals with resonating building blocks.